- #1
Spinnor
Gold Member
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At one time it was thought(still is?) that we live in a closed universe?
So if we live in a closed universe we might try to get a picture of this space by thinking of the space S^3? remember,
S^1 surface of a 2 dimensional ball,
S^2 surface of a 3 dimensional ball,
S^3 surface of a 4 dimensional ball,
S^4 surface of a 5 dimensional ball.
Let us not forget time. In a closed big bang universe can time be thought of as a big circle if we identify beginning and end points? If so can spacetime of a closed universe be thought of as the surface of a 5 dimensional ball?
Thank you for any thoughts.
So if we live in a closed universe we might try to get a picture of this space by thinking of the space S^3? remember,
S^1 surface of a 2 dimensional ball,
S^2 surface of a 3 dimensional ball,
S^3 surface of a 4 dimensional ball,
S^4 surface of a 5 dimensional ball.
Let us not forget time. In a closed big bang universe can time be thought of as a big circle if we identify beginning and end points? If so can spacetime of a closed universe be thought of as the surface of a 5 dimensional ball?
Thank you for any thoughts.